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3. (Tridiagonal LU factorization) Without the function luO, write a Matlab/Julia program that find an LU factorization of bi a2 C2 b2 a3 C3 E

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3. (Tridiagonal LU factorization) Without the function luO, write a Matlab/Julia program that find an LU factorization of bi a2 C2 b2 a3 C3 E Rnxn bn-2 an-1 bn-1 Cn-1 an Input: three vectors aER, bER1 cERn-1 Output: two matrices (or sparse matrices) bi 02 b2 03 and U - 1 Yn-1 3. (Tridiagonal LU factorization) Without the function luO, write a Matlab/Julia program that find an LU factorization of bi a2 C2 b2 a3 C3 E Rnxn bn-2 an-1 bn-1 Cn-1 an Input: three vectors aER, bER1 cERn-1 Output: two matrices (or sparse matrices) bi 02 b2 03 and U - 1 Yn-1

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